A box with a rectangular base and no top is to be made to hold 2 litres (or 2000 cm³ ). The length of the base is twice the width. The cost of the material to build the base is $2.25/cm² and the cost for the sides is $1.50/cm². What are the dimensions of the box that minimize the total cost? Justify your answer. Hint: Cost Function C= 2.25x area of base + 1.5× area of four sides
A box with a rectangular base and no top is to be made to hold 2 litres (or 2000 cm³ ). The length of the base is twice the width. The cost of the material to build the base is $2.25/cm² and the cost for the sides is $1.50/cm². What are the dimensions of the box that minimize the total cost? Justify your answer. Hint: Cost Function C= 2.25x area of base + 1.5× area of four sides
Chapter5: Polynomial And Rational Functions
Section: Chapter Questions
Problem 6PT: Solve the following application problem. A rectangular field is to be enclosed by fencing. In...
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Transcribed Image Text:A box with a rectangular base and no top is to be made to hold 2 litres (or 2000 cm³ ).
The length of the base is twice the width. The cost of the material to build the base is
$2.25/cm² and the cost for the sides is $1.50/cm². What are the dimensions of the box
that minimize the total cost? Justify your answer.
Hint: Cost Function C= 2.25× area of base + 1.5× area of four sides
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